Connected components of moduli spaces
type: Item
instance of: scholarly article
title: Connected components of moduli spaces
zbMATH Open document ID: 0621.14014
published in: Journal of Differential Geometry
publication date: 1986-01-01T00:00:00Z
review text: Let S be a minimal surface of general type over the field of complex numbers and let M(S) be the coarse moduli space of complex structures on the oriented topological 4-manifold S. The following theorem shows that the number \(\lambda\) (S) of connected components of M(S) can be arbitrarily large: For each natural number k there exist minimal models \(S_ 1,...,S_ k\) of surfaces of general type such that \((a)\quad S_ i\) is simply connected \((i=1,...,k)\); \((b)\quad for\) \(i\neq j\), \(S_ i\) and \(S_ j\) are (orientedly) homeomorphic but not a deformation of each other.
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 14J10
zbMATH DE Number: 4006413
zbMATH Keywords: number of connected components
zbMATH Keywords: minimal surface of general type
zbMATH Keywords: coarse moduli space
zbMATH Keywords: minimal models
Wikidata QID: Q115185018
author: Fabrizio Catanese
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214440554
OpenAlex ID: W1583713854
DOI: 10.4310/JDG/1214440554
description: scientific article; zbMATH DE number 4006413